A pair of dice are rolled and the total is recorded. If this is done ten times, what is the probability that 7 is recorded at least three times?

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A: here i gives answer of (c) and (d) from given data : λ=33 , μ=22

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A: As per our guidelines I can solve only first three subparts. Kindly post the remaining subparts…

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A: A quantity is said to be pivotal quantity if it's distribution is free from parameter of interest.

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A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

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A: Please note that as per our guidelines if multiple questions are posted we can answer the first one.…

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A: (a). The probability density function is given. f(x)=2 . Where  x lies between 49.75 and 50.25. In…

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Q: 7. If the r.v.'s X and Y have bivariate normal distribution with parameters ₁ = 3.2, 2 = 1.44, 0₁ =…

A: "Since you have posted a question with multiple subparts, we will solve first 3 sub-parts for you.…

Q: The number of road accidents that occur in a major intersection monthly has a poison distribution…

A: Given information: μ=50

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A:

Q: gymnastics (ii) (29% watched baseball (iii) 19% watched soccer (iv) 14% watched gymnastics and…

A: As per our guidelines I can solve only first question. Kindly post the remaining questions again and…

Q: n this problem, assume that the distribution of differences is approximately normal. Note: For…

A: Solution:  One Five  d=One-Five (d-d)2 3.6 2.8 0.8 0.100278 4.1 3.5 0.6 0.013611 3 2.9 0.1…

Q: 12. If we have sets S = (0,1,2,3,4,5,6,7,8,9), elements of the sets corresponding to A a. A B…

A: Given that A={0,2,4,6,8} B={1,3,5,7,9}

Q: Suppose you choose a real number X from the interval [2, 10] with a density function f(

A: Given that the density function for X is, fx=148x, 2≤x≤10

Q: Find the variance of the weekly price changes of each

A: From given data we have : Insurance Stock  (x)           0.3          1.8            0           0.…

Q: Let X ~N(0,3). Generate 100 independent random variables with this distribution, and estimate the…

A: Hello! Thanks for the question. We are providing the solution by considering the value 3 as standard…

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Q: Let us suppose that a particular lecturer manages, with probability 1, to develop exams that have…

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Q: archaeological site 130 sk ound ar heights asured and found to be approximately normal with mean 172…

A: Given:  μ=172  σ2=81

Q: 1.2.1. Find the union C₁ UC2 and the intersection C₁ C₂ of the two sets C₁ and C2, where (a) C₁ =…

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Q: Suppose that one person in 1,000 people has a rare genetic disease. There is an excellent test for…

A: given data event A : have diseaseevent B : tests positiveP(A)  = 11000 = 0.001P(A') = 1 -0.001 =…

Q: ii. Create a 99% confidence interval for the proportion of all wheat bread rolls produced from Ideal…

A: (ii)

Q: Page 217, 3.6.10.* If F has an F-distribution with parameters r1 = 3 and r2 = 9, find 'a' and 'b' so…

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A: Option D is the answer. Answer : Block Sampling

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Q: You roll two fair 6-sided dice. What is the probability that you: a) roll doubles? (both dice show…

A: roll two fair six sided dice. total outcomes  =6*6 = 36

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A: Let the random variable X denotes the number of barrels produced by the oil company.  X can take the…

Q: In a class of 60 students, 32 are Democrats, 18 are business majors, and 13 of the business majors…

A: According to the given information in this question We need to find the following probability

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A: General formula of probability is ,   Probability = Number of favorable outcomes Total outcomes…

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A: given data  x = time between two successive messages x follows exponential distribution μ = 2 hoursλ…

Q: Let A and B be two events in a sample space S such that P(A) = 0.6, P(B) = 0.4, and P(A ∩ B) = 0.3.…

A: According to the given information in this question We need to find the following probabilities

Q: Which of the following functions are cumulative distribution functions? (Hint: Sketch the graph of…

A: We draw the cumulative distribution function for every value of y,t and x.

Q: An article contained the following observations on degree of polymerization for paper specimens for…

A: Given 415 421 422 422 425 427 431 435 436 439 446 447 450 451 456 462 465 n=17 Alpha=0.05

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A: plastic 2 plastic 4 total correctly plaacede 4 4 3 7 incorrectly placed 4 4 2 6   8 5 13

Q: 1. The error, X, in measuring the length of a rivet (in micrometers) has the following probability…

A: A random variable X has following probability density function: fx=20243 x3-x3 ;      0≤x≤3 By…

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Q: i) Show that the standard score of the sample mean X, is equal to Y. ii) Show that the mean and…

A: It is given that  X follows N(θ, 1), then E(X) = θ and V(X) = 1, And the moment genarating function…

Q: From the graph given above, the mean will be as such: 1908.42/30= 63.6 Sd 18.8 = Using Chebyshev's…

A: Given information: Mean = 63.6 S.D = 18.8

Q: Show that the mean and variance of the random variable Y are 0 and 1, respectively.

A: It is given that  X follows N(θ, 1), then E(X) = θ and V(X) = 1,

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A: Suppose p is the true proportion of people, who intend to vote for the particular candidate.

Q: 7. Among all the computer chips produced by a certain factory, 6 percent are defective. A sample of…

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Q: The waiting time to get food at a fast-food restaurant is 4.5 minutes on average with standard…

A: Given that, μ=4.5σ=2n=45 (A) The mean of the sampling distribution of sample mean is,

Q: Let XU(a, b). Verify the formulas a+b 2 E(X)= μ == and Var(X)=o² (b-a)² 12

A: Given that X~Ua,b fx=1b-a, a<X<b

Q: A probability distribution has a mean of 50 and a standard deviation of 2. Use Chebyshev's…

A: Given Mean=50 Standard deviation=2

Q: The length, in feet, of a certain structural steel beam is normally distributed with a mean of 10…

A: Given Mean=10 Standard deviations=5